Existence, uniqueness, Ulam–Hyers–Rassias stability, well-posedness and data dependence property related to a fixed point problem in gamma-complete metric spaces with application to integral equations

In this paper, we study a fixed point problem for certain rational contractions on γ-complete metric spaces. Uniqueness of the fixed point is obtained under additional conditions. The Ulam–Hyers–Rassias stability of the problem is investigated. Well-posedness of the problem and the data dependence property are also explored. There are several corollaries of the main result. Finally, our fixed point theorem is applied to solve a problem of integral equation. There is no continuity assumption on the mapping.

Corruption as a factor that hampers the socialization of the economy

The author investigates comparisons of the corruption prevalence in countries with different economic systems based on the regularly calculated corruption perception index. The essence of corruption interactions in an economy is revealed through relations of power and dependence, property distribution and related economic actors behavior. The article shows a role of the institutional environment in corruption expanding or reducing, its connection with the development of civil society and the processes of economy socialization. The influence of corruption on certain aspects of economy socialization is specified: social differentiation, innovative orientation of production development, macroeconomic stability, development of the institutional environment, efficiency of the public administration system, property allocation efficiency, general humanization of activities and the human capital quality associated with these processes. The author shows how corruption relations affect individual aspects of socialization of the economy, considers the potential and prospects of noonomy and the NIS’s new economy in the processes of reducing corruption and strengthening the foundations of socialization. Micro- and macroaspects of the formation of a new human with his needs structure and new production corresponding to these needs are separately noted.

Reliability analysis of distributed storage systems considering data loss and theft

With the advancement of cloud computing and internet of things, data are usually stored on distributed computers and these data may risk being lost or stolen. In this article, we consider a common case where the entirety of the data is partitioned into several parts and each data part can be allocated to one or more computers. In the case where a computer fails, all the data parts on it are lost. Before the failure of any computer, the data parts may also be stolen by hackers. The basic model of computer failure and computer intrusion resulting in the theft of all the data parts on the computer is considered first. Then, the case is extended to a general model where computer failure, as well as data part corruption and theft caused by hacking are embedded. It is essential to study the reliability of distributed storage systems considering both data loss and data theft, which can be a basis for decision making on system structure optimization. In this article, a multi-valued decision diagram–based approach is developed to quantitatively evaluate system reliability for both models considering the time-dependence property of sequential events. The proposed method is applicable to systems where the random time to failure, theft, or corruption follows arbitrary distributions including the commonly used exponential distributions. Illustrative examples are provided to validate the proposed method.

Behaviour of multivariate tail dependence coefficients

In applications tail dependence is an important property of a copula. Bivariate tail dependence is investigated in many papers, but multivariate tail dependence has not been studied widely. We define multivariate upper and lower tail dependence coefficients as limits of the probability that values of one marginal will be large if at least one of other marginals will be as large also. Further we derive some relations between introduced tail dependence and bivariate tail dependence coefficients. Applications have shown that the multivariate t-copula has been successfully used in practice because of its tail dependence property. Therefore, t-copula can be used as an alternative method for risk assessment under Solvency II for insurance models. We have paid attention to the properties of the introduced multivariate tail dependence coefficient for t-copula and examine it in the simulation experiment.

Mixture copulas and insurance applications

In the classical collective model over a fixed time period of two insurance portfolios, we are interested, in this contribution, in the models that relate to the joint distributionFof the largest claim amounts observed in both insurance portfolios. Specifically, we consider the tractable model where the claim counting random variableNfollows a discrete-stable distribution with parameters (α,λ). We investigate the dependence property ofFwith respect to both parametersαandλ. Furthermore, we present several applications of the new model to concrete insurance data sets and assess the fit of our new model with respect to other models already considered in some recent contributions. We can see that our model performs well with respect to most data sets.

ATSAR AL-ITTISAQ FI AL-TAMASIK AL- NASH (NAS MIN KITAB AKHBAR ABI AL-QASIM AL-ZAJAJI NAMUDZAJAN)

The research aims to study the effect of the elements of consistency in the text cohesion through the selected text from the" Akbar abialgasim alzagagy" book, to detect what is possible of the secrets of the artistic languor based on the linguistic objective foundations (rules, this has been through several axe. The study has two axes. The first axis is devoted to the theoretical frame work in which the researcher defined the text, coherence and consistency and it's components, The second come to apply these elements to a text was chosen from “Akbar abilgasim alzagagy” book. The study reached the following findings. The study reached several conclusions, including that because of the various means of consistency the indicative unity of the text is achieved and brought together between its many sentences and inter dependence property owned by these means. The study found that more elements of consistency limitation to text clips assignments, specially indicative assignment indicative element. The ability to high light the most indicative personalized elements are pronouns. Not only this but that the vole of the deletion on the grounds that it is most important means of consistency in the text because of the optimal investment in pronoun assignments which is used as alternative of repeating the subject special the subject of.

The dielectric and ferroelectric properties of (Ba0.5Sr0.5)TiO3-doped (Bi0.5Na0.5)TiO3 lead-free ceramics

This work prepares (Ba[Formula: see text]Sr[Formula: see text])TiO3 (BST)-doped (Bi[Formula: see text]Na[Formula: see text])TiO3 (NBT) lead free ceramics through conventional solid reaction method and analyzes the doping effect of BST on phases, microstructure, dielectric and ferroelectric properties. The phase and structure of the NBT-BST ceramics were investigated through X-ray diffractometer (XRD) and Raman. The XRD results showed that BST has diffused into the NBT lattices to form a stable solid solution; while, Raman spectrum showed the bands at low frequency are different with that of pure NBT and divided into two ranges around 247[Formula: see text]cm[Formula: see text] and 303[Formula: see text]cm[Formula: see text]. Relative dense and homogeneous ceramic microstructures could be achieved, with the observation of a slight decrease in average grain size with the increase of BST doping content. The dielectric and ferroelectric properties were also investigated. The dielectric constant increases gradually with increasing the temperature to [Formula: see text], and then decrease. The temperature dependence property showed diffused phase transition near [Formula: see text]. The polarization-electric field ([Formula: see text]-[Formula: see text]) hysteresis loops of BST-doped NBT ceramics showed typical ferroelectric or relaxor nature. Both the [Formula: see text] and [Formula: see text] increased first, then decreased with respect to the increase of the BST content.

Indoor target localization using single marginal antenna with virtual radars support

In urban target localization, the presence of walls creates virtual radars (VRs), which can be exploited to aid in localization process. The fact that multipath changes with the radar locations, which are referred to as aspect dependence property, enable us to find a radar location, which reduces wall uncertainties. This paper proposes single-antenna target localization in an enclosed structure taking advantage of VRs. Using ultra-wideband signals, we can resolve the target returns and estimate the correct location by solving monostatic loci at real and VR locations. Simulation results show that the method can precisely and accurately localize the target for a wide range of timing errors.